Read the scenarios and answer the questions that follow.

1. A family of five buys a two-liter bottle of cold drink every day.
- The three children each drink [tex]$250 \, \text{mL}$[/tex] of cold drink after lunch.

a. How much cold drink is left for the rest of the family after the children each drank a glass of cold drink in the afternoon?

b. How much cold drink does the family buy each week?

2. A water cooler contains [tex]$21 \, \text{L}$[/tex] of water.

a. [tex]$\frac{1}{2} \, \text{L}$[/tex] of water is added to the water cooler. How much water does it now contain?

b. Daniel fills his water bottle with [tex]$500 \, \text{mL}$[/tex] of water from the water cooler. How much water remains in the water cooler?



Answer :

Sure, let's break down each of the scenarios and answer the questions step-by-step.

### Scenario 1: Cold Drink Consumption

#### Details:
- A family of five buys a 2-litre bottle of cold drink every day.
- Each of the three children drinks 250 milliliters (mL) of cold drink daily after lunch.

To address the questions:

#### a) How much cold drink is left for the rest of the family after the children each drank a glass of cold drink in the afternoon?

Step-by-step solution:

1. Calculate the total amount of cold drink the children consume:
- There are 3 children, and each drinks 250 mL.
- Therefore, the total amount consumed by the children is:
[tex]\[ 250 \, \text{mL/child} \times 3 \, \text{children} = 750 \, \text{mL} \][/tex]

2. Calculate the total amount of cold drink left:
- The family buys a 2-litre bottle of cold drink every day.
- 2 litres is equivalent to 2000 mL.
- After the children drink 750 mL, the amount left is:
[tex]\[ 2000 \, \text{mL} - 750 \, \text{mL} = 1250 \, \text{mL} \][/tex]

Answer: 1250 mL of cold drink is left for the rest of the family.

#### b) How much cold drink does the family buy each week?

Step-by-step solution:

1. Calculate the daily amount of cold drink bought:
- The family buys a 2-litre bottle every day.

2. Calculate the weekly amount of cold drink bought:
- There are 7 days in a week.
- Therefore, the total amount of cold drink bought in a week is:
[tex]\[ 2 \, \text{litres/day} \times 7 \, \text{days} = 14 \, \text{litres} \][/tex]

Answer: The family buys 14 litres of cold drink each week.

### Scenario 2: Water Cooler

#### Details:
- A water cooler contains 21 litres (L) of water.

#### c) [tex]\(\frac{1}{2}\)[/tex] litre of water is added to the water cooler. How much water does it now contain?

Step-by-step solution:

1. Calculate the amount of water added:
- 0.5 litres (or [tex]\(\frac{1}{2}\)[/tex] litre) is added to the water cooler.

2. Calculate the total amount of water in the cooler after adding:
- The initial amount of water in the cooler is 21 litres.
- Therefore, the total amount after adding 0.5 litres is:
[tex]\[ 21 \, \text{litres} + 0.5 \, \text{litres} = 21.5 \, \text{litres} \][/tex]

Answer: The water cooler now contains 21.5 litres of water.

#### d) Daniel fills his water bottle with 500 milliliters (mL) of water from the water cooler. How much water remains in the water cooler?

Step-by-step solution:

1. Convert the amount of water Daniel fills into litres:
- 500 mL is equivalent to 0.5 litres.

2. Calculate the total amount of water in the cooler after Daniel fills his bottle:
- The initial amount of water in the cooler is 21.5 litres (after the previous addition).
- Therefore, the total amount remaining after Daniel takes 0.5 litres is:
[tex]\[ 21.5 \, \text{litres} - 0.5 \, \text{litres} = 21 \, \text{litres} \][/tex]

Answer: The water cooler has 21 litres of water remaining after Daniel fills his bottle.